feat(globe3d=11): pp/pe pole and limb lens pinch URL params

Co-authored-by: Cursor <cursoragent@cursor.com>

assets/hub-globe.js

@@ -12,7 +12,7 @@
  * globe3d=9: v4 sphere grid only (thin E–W + N–S) — proper rotation baseline.
  * globe3d=10: v4 visible-arc → screen ellipse (hub ry), disk-clipped.
  * globe3d=11: v10 grid + geographic mercator-flat land (360° U-wrap).
- *   ?latf=1.25&lngf=1&zy=0&zx=0 — land plate zoom (linear + non-linear).
+ *   ?latf=1.25&lngf=1&zy=1&zx=1&pp=0&pe=0 — land plate zoom + pole/limb lens pinch.
  */
 export const GLOBE_VIEW = { imgW: 1920, imgH: 1080, cx: 720, cy: 560, r: 322, rim: 330 };
 
@@ -31,7 +31,7 @@ const CONTINENT_INNER_SY = 1.2408477842003853;
 /** Map plate center longitude (extract_red_polygons.py CENTER_LON). */
 const MERCATOR_LON_CENTER = (12 * Math.PI) / 180;
 /** Default land-plate zoom (?latf / ?lngf / ?zy / ?zx on globe3d=11). */
-const LAND_ZOOM_DEFAULT = { latf: 1.25, lngf: 1, zy: 1, zx: 1 };
+const LAND_ZOOM_DEFAULT = { latf: 1.25, lngf: 1, zy: 1, zx: 1, pp: 0, pe: 0 };
 
 function clampZoomNum(v, min, max, fallback) {
   if (typeof v !== 'number' || !isFinite(v)) {
@@ -47,21 +47,27 @@ function resolveLandZoom(raw) {
     lngf: clampZoomNum(r.lngf, 0.05, 4, LAND_ZOOM_DEFAULT.lngf),
     zy: clampZoomNum(r.zy, 0.05, 4, LAND_ZOOM_DEFAULT.zy),
     zx: clampZoomNum(r.zx, 0.05, 4, LAND_ZOOM_DEFAULT.zx),
+    pp: clampZoomNum(r.pp, 0, 0.95, LAND_ZOOM_DEFAULT.pp),
+    pe: clampZoomNum(r.pe, 0, 0.95, LAND_ZOOM_DEFAULT.pe),
   };
 }
 
 /**
- * Linear latf/lngf on sphere lon/lat; zy/zx bias zoom toward equator/ prime meridian:
+ * Land plate sample remap (globe3d=11 URL tunables):
- * mul = factor × (1 + z×(1−t²)), t = |coord|/pole (1 at pole, 0 at center line).
+ * latf/lngf — linear zoom; zy/zx — equator/prime-meridian mag (1 = uniform).
+ * pp — pole lens pinch (0 = off): pulls N/S sample toward equator near poles.
+ * pe — limb lens pinch (0 = off): pulls E/W sample toward center near disk edges.
  */
 function landZoomLonLat(lon, lat, zoom) {
   const latT = Math.min(1, Math.abs(lat) / (Math.PI / 2));
   const lonT = Math.min(1, Math.abs(lon) / Math.PI);
-  const latMul = zoom.latf * (1 + zoom.zy * (1 - latT * latT));
+  const latMul = zoom.latf * (zoom.zy * (1 - latT * latT) + latT * latT);
-  const lonMul = zoom.lngf * (1 + zoom.zx * (1 - lonT * lonT));
+  const lonMul = zoom.lngf * (zoom.zx * (1 - lonT * lonT) + lonT * lonT);
+  const poleLens = 1 - zoom.pp * latT * latT;
+  const edgeLens = 1 - zoom.pe * lonT * lonT;
   return {
-    lon: wrapLon(lon * lonMul + MERCATOR_LON_CENTER),
+    lon: wrapLon(lon * lonMul * edgeLens + MERCATOR_LON_CENTER),
-    lat: Math.max(-1.52, Math.min(1.52, lat * latMul)),
+    lat: Math.max(-1.52, Math.min(1.52, lat * latMul * poleLens)),
   };
 }
 const RASTER_SCALE = 2;
@@ -1403,6 +1409,8 @@ export async function mountHubGlobe(stage, opts) {
     stage.dataset.globeLngf = String(landZoom.lngf);
     stage.dataset.globeZy = String(landZoom.zy);
     stage.dataset.globeZx = String(landZoom.zx);
+    stage.dataset.globePp = String(landZoom.pp);
+    stage.dataset.globePe = String(landZoom.pe);
   }
   stage.dataset.globeAxis =
     renderVersion === 11
@@ -1436,6 +1444,8 @@ export async function mountHubGlobe(stage, opts) {
       delete stage.dataset.globeLngf;
       delete stage.dataset.globeZy;
       delete stage.dataset.globeZx;
+      delete stage.dataset.globePp;
+      delete stage.dataset.globePe;
     },
   };
 }

index.php

@@ -257,7 +257,7 @@ function hub_h(string $s): string {
       var globe3dVersion = globe3dRaw === null || globe3dRaw === '' ? 1 : parseInt(globe3dRaw, 10);
       if (!isFinite(globe3dVersion)) globe3dVersion = 1;
       var globeLandZoom = {};
-      ['latf', 'lngf', 'zy', 'zx'].forEach(function (key) {
+      ['latf', 'lngf', 'zy', 'zx', 'pp', 'pe'].forEach(function (key) {
         var raw = params.get(key);
         if (raw === null || raw === '') return;
         var n = parseFloat(raw);